TSTP Solution File: SET841-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:20 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 17 unt; 0 def)
% Number of atoms : 68 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 59 ( 27 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 16 (; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_n,V_S,T_a,V_m] :
( ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
| c_lessequals(c_Zorn_Osucc(V_S,V_n,T_a),V_m,tc_set(tc_set(T_a)))
| V_n = V_m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [V_n,V_m] :
( ! [V_S,T_a] :
( ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
| c_lessequals(c_Zorn_Osucc(V_S,V_n,T_a),V_m,tc_set(tc_set(T_a))) )
| V_n = V_m ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,X3,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| X0 = X3 ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
( spl0_0
<=> c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f18,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( spl0_1
<=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f21,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_1 ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( spl0_2
<=> c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f24,plain,
( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| spl0_2 ),
inference(component_clause,[status(thm)],[f22]) ).
fof(f25,plain,
( spl0_3
<=> v_x = v_m ),
introduced(split_symbol_definition) ).
fof(f26,plain,
( v_x = v_m
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f28,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| v_x = v_m ),
inference(resolution,[status(thm)],[f10,f15]) ).
fof(f29,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f28,f16,f19,f22,f25]) ).
fof(f35,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f21,f11]) ).
fof(f36,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f35]) ).
fof(f37,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f14]) ).
fof(f38,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f37]) ).
fof(f39,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f18,f13]) ).
fof(f40,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f39]) ).
fof(f41,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f26,f15]) ).
fof(f42,plain,
( ~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f12,f41]) ).
fof(f43,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f8]) ).
fof(f44,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f45,plain,
$false,
inference(sat_refutation,[status(thm)],[f29,f36,f38,f40,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:09:05 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54 % Elapsed time: 0.012269 seconds
% 0.15/0.54 % CPU time: 0.011133 seconds
% 0.15/0.54 % Memory used: 3.588 MB
%------------------------------------------------------------------------------